Exotic Courant algebroids and T-duality

TL;DR

This paper extends the T-duality isomorphism to exotic exact Courant algebroids, revealing new symmetries in the exchange of momentum and winding numbers, thus filling a gap in the mathematical understanding of T-duality.

Contribution

It introduces the concept of exotic exact Courant algebroids and extends the T-duality isomorphism to include these structures, which was not previously addressed.

Findings

Extended T-duality to exotic Courant algebroids

Demonstrated exchange of momentum and winding numbers

Filled a gap in the mathematical literature on T-duality

Abstract

In this paper, we extend the T-duality isomorphism by Gualtieri and Cavalcanti, from invariant exact Courant algebroids, to exotic exact Courant algebroids such that the momentum and winding numbers are exchanged, filling in a gap in the literature.